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Description
  • We prove a joint generalization of Whitney's C-1 extension theorem and Aversa-Laczkovich-Preiss' extension theorem. It can be roughly described as a theorem on extendibility of a differentiable function defined on a closed subset of R-n to a differentiable function on R-n with preserving the continuity of the derivative. Other results on C-1 and differentiable extensions from %22thick%22 subsets of R-n are also proved.
  • We prove a joint generalization of Whitney's C-1 extension theorem and Aversa-Laczkovich-Preiss' extension theorem. It can be roughly described as a theorem on extendibility of a differentiable function defined on a closed subset of R-n to a differentiable function on R-n with preserving the continuity of the derivative. Other results on C-1 and differentiable extensions from %22thick%22 subsets of R-n are also proved. (en)
Title
  • A joint generalization of Whitney's C-1 extension theorem and Aversa-Laczkovich-Preiss' extension theorem
  • A joint generalization of Whitney's C-1 extension theorem and Aversa-Laczkovich-Preiss' extension theorem (en)
skos:prefLabel
  • A joint generalization of Whitney's C-1 extension theorem and Aversa-Laczkovich-Preiss' extension theorem
  • A joint generalization of Whitney's C-1 extension theorem and Aversa-Laczkovich-Preiss' extension theorem (en)
skos:notation
  • RIV/00216208:11320/12:10127169!RIV13-MSM-11320___
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  • 120261
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  • RIV/00216208:11320/12:10127169
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  • Contingent cone; Strict differentiability; Whitney's extension theorem; Extensions; Differentiable functions of several variables (en)
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  • US - Spojené státy americké
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  • [AE20C212BE14]
http://linked.open...i/riv/nazevZdroje
  • Journal of Mathematical Analysis and Applications
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  • 388
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  • Zajíček, Luděk
  • Koc, Martin
http://linked.open...ain/vavai/riv/wos
  • 000299127900031
issn
  • 0022-247X
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.jmaa.2011.10.049
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  • 11320
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